[2x^2-6+x^2+3]=

Solution for [2x^2-6+x^2+3]= equation:

Simplifying
[2x2 + -6 + x2 + 3] = 0

Reorder the terms:
[-6 + 3 + 2x2 + x2] = 0

Combine like terms: -6 + 3 = -3
[-3 + 2x2 + x2] = 0

Combine like terms: 2x2 + x2 = 3x2
[-3 + 3x2] = 0

Remove brackets around [-3 + 3x2]
-3 + 3x2 = 0

Solving
-3 + 3x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 3x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 = 0 + 3
3x2 = 0 + 3

Combine like terms: 0 + 3 = 3
3x2 = 3

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}